y is inversely proportional to the square root of y. When x=16,y=0.5625. Find y when x=18.

Habitat for Humanity uses volunteers to build houses. The number of days it takes to build a house varies inversely as the number of volunteers. It takes eight days to build a house with twenty volunteers. How many days will it take sixteen volunteers to complete the same job?

The Law of the Fulcrum states the distance you sit to balance a seesaw varies inversely as your weight. If Gary weighs 20.43 kg and sits 1.8 meters from the fulcrum, how far would Shelley sit, assuming she weighs 36.32 kilograms?

For each function:

Graph it on a Cartesian plane.

State its domain and range.

Determine any horizontal and/or vertical asymptotes the function may have.

y=4x

f(x)=24−x

g(x)=−1x+1

y=63x+1−2

f(x)=3x−5

Perform the indicated operation.

5a6−5b4b

43m+4m5

3x2xy+43

25n−2+2n2

2x+13x+9−x+53x+9

5m+n30n4−4m+n30n4

r−64r2−12r+8−r+64r2−12r+8

216x3y2+x−2y16x3y2

n−6n+2+2n5

84−x+5x+8

3x2(x+1)+67x−6

118⋅20x22

17r16⋅7r416

1518⋅1417t

2(b−11)14b⋅b+5(b+5)(b−11)

17w2w+4⋅18(w+4)17w2(w−9)

10s3−30s230s2−10s3⋅s−38

1f−5÷f+3f2+6f+9

(a+8)(a+3)4(a+3)÷10a2(a+10)4

1(h−10)(h+7)÷(h−4)4h(h−10)

2(5x−8)4x2(8−5x)÷64x2

2(q−7)40q(q+1)÷140q(q+1)

Solve each equation.

33x2=1x+13x2

25x2=−12x−3

7xx−6=34x+16

4c−2=3c+4

d−44d2=14d2+14d

12=2z−12z−z+14z

1n=1n2+6n

12a=12a2+1a

k+4k2=5k−303k2+13k2

It takes Jayden seven hours to paint a room. Andie can do it in five hours. How long will it take to paint the room if Jayden and Andie work together?

Kiefer can mow the lawn in 4.5 hours. Brad can do it in two hours. How long will it take if they worked together?

Melissa can mop the floor in 1.75 hours. With Brad’s help, it took only 50 minutes. How long would it take Brad to mop it alone?

Working together, it took Frankie and Ricky eight hours to frame a room. It would take Frankie fifteen hours doing it alone. How long would it take Ricky to do it alone?

A parallel circuit has R1=50Ω and Rt=16Ω. FindR2.

A parallel circuit has R1=6Ω and R2=9Ω. FindRT.

A series circuit has R1=200Ω and Rt=300Ω. FindR2.

A series circuit has R1=11Ω and R2=25Ω. FindRT.

Write the formula for the total resistance for a parallel circuit with three individual resistors.

What would be the bias in this situation? To determine the popularity of a new snack chip, a survey is conducted by asking 75 people walking down the chip aisle in a supermarket which chip they prefer.

Describe the steps necessary to design and conduct a survey.

You need to survey potential voters for an upcoming school board election. Design a survey with at least three questions you could ask. How will you plan to conduct the survey?

What is a stratified sample? Name one case where a stratified sample would be more beneficial.